Weighted Weakly Singular Integral Inequalities: New Explicit Bounds and Applications in Fractional Dfferential Equations

Salah Boulares, Djalal Boucenna, Mohamed Rhaima, Lassaad Mchiri and Abdellatif Ben Makhlouf

Journal of Mathematics, 2025, vol. 2025, 1-12

Abstract: This study delves into the formulation of innovative integral inequalities, specifically designed to accommodate weakly singular singularities, thus significantly broadening the scope of previously established ones. The methodology employed centers around the application of weighted fractional differential equations, leading to the derivation of a diverse array of practical applications for fractional differential equations, all contextualized within the framework of Caputo.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8311840

DOI: 10.1155/jom/8311840

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